I know that mucosa inside the nose absorbs cocaine molecules when snorting cocaine, but what difference is there compared to swallowing?

Also more cocaine administration equals more cocaine molecules in the brain equals more inhibition of repute equals more serotonin–norepinephrine–dopamine in the synaptic clefts equals more work for receptors equals more intense effect, right? What about the duration of a particular molecule which inhibits reuptake? How long this particular molecule stands there?

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You can easily google for this question and find plenty of disreputable sources, but this is another case where Wikipedia does an okay job. There are some misleading and erroneous sentences, but this one basically sums it up:

Mainly, take a look at this 1981 article. The researchers gave participants cocaine, measured drug activity, and did then did a great review of the literature. They found that, like plenty of other drugs, ingesting cocaine results in a slower but longer-lasting effect.

Your stomach is not an efficient route of absorption for things besides water, alcohol, and aspirin; besides, it's highly acidic.